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Simplifying (5x2 + 5x + -4) + (4x2 + 7x + 10) + -1(9x2 + -19) = 0 Reorder the terms: (-4 + 5x + 5x2) + (4x2 + 7x + 10) + -1(9x2 + -19) = 0 Remove parenthesis around (-4 + 5x + 5x2) -4 + 5x + 5x2 + (4x2 + 7x + 10) + -1(9x2 + -19) = 0 Reorder the terms: -4 + 5x + 5x2 + (10 + 7x + 4x2) + -1(9x2 + -19) = 0 Remove parenthesis around (10 + 7x + 4x2) -4 + 5x + 5x2 + 10 + 7x + 4x2 + -1(9x2 + -19) = 0 Reorder the terms: -4 + 5x + 5x2 + 10 + 7x + 4x2 + -1(-19 + 9x2) = 0 -4 + 5x + 5x2 + 10 + 7x + 4x2 + (-19 * -1 + 9x2 * -1) = 0 -4 + 5x + 5x2 + 10 + 7x + 4x2 + (19 + -9x2) = 0 Reorder the terms: -4 + 10 + 19 + 5x + 7x + 5x2 + 4x2 + -9x2 = 0 Combine like terms: -4 + 10 = 6 6 + 19 + 5x + 7x + 5x2 + 4x2 + -9x2 = 0 Combine like terms: 6 + 19 = 25 25 + 5x + 7x + 5x2 + 4x2 + -9x2 = 0 Combine like terms: 5x + 7x = 12x 25 + 12x + 5x2 + 4x2 + -9x2 = 0 Combine like terms: 5x2 + 4x2 = 9x2 25 + 12x + 9x2 + -9x2 = 0 Combine like terms: 9x2 + -9x2 = 0 25 + 12x + 0 = 0 25 + 12x = 0 Solving 25 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 12x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = 0 + -25 12x = 0 + -25 Combine like terms: 0 + -25 = -25 12x = -25 Divide each side by '12'. x = -2.083333333 Simplifying x = -2.083333333
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